Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5: 53

Answer

{$110$}

Work Step by Step

Step 1: $\sqrt[3] {2x-4}=6$ Step 2: Raising each side of the equation to the power of $3$ and simplifying, we obtain: $(\sqrt[3] {2x-4})^{3}=(6)^{3}$ $2x-4=216$ Step 3: Solving the equation, we obtain: $2x-4=216$ $2x=216+4$ $2x=220$ $x=\frac{220}{2}$ $x=110$ Therefore, the solution set of the equation is {$110$}.
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